The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model
In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. In particular, under some conditions on the parameters, we prove the existence of a unique non-degenerate global solution for these models, which attracts any other complete bo...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/44757 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/44757 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Sub-supertrajectory method Lotka-Volterra competition system attracting complete trajectories Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. In particular, under some conditions on the parameters, we prove the existence of a unique non-degenerate global solution for these models, which attracts any other complete bounded trajectory. For that we present the sub-supertrajectory tool as a generalization of the now classical subsupersolution method. |
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